Which of these statements about y = 8\(\sqrt{m}\) is correct?
- log y = log 8 x log \(\sqrt{m}\)
- log y = 3 log 2 x \(\frac{1}{2}\) log m
- log y = 3 log 2 - \(\frac{1}{2}\) log m
-
log y = 3 log 2 + \(\frac{1}{2}\) log m
The correct answer is: D
Explanation
y = 8\(\sqrt{m}\); log y = log 8\(\sqrt{m}\)log y = log 8 + log \(\sqrt{m}\)
log y = log 23 + log m\(\frac{1}{2}\)
log y = 3 log 3 + \(\frac{1}{2}\) log m